A Cosserat bond-based correspondence model and the investigation of microstructure effect on crack propagation

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Particle Mechanics Pub Date : 2024-06-13 DOI:10.1007/s40571-024-00785-0

Zhuang Chen, Xihua Chu, Diansen Yang

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引用次数: 0

Abstract

Microstructure plays a significant role in the fracture behavior of the material. To analyze the microstructure effect on crack propagation, a peridynamic model named Cosserat bond-based correspondence model (CBBCM) is proposed based on the Cosserat continuum theory and bond-based correspondence model. In CBBCM, the peridynamic (PD) force and moment are obtained by Cosserat constitutive equations through the relation between PD forces/moment and the stress/couple stress. Such relation is derived according to the bond relation of the Cosserat peridynamic model. To validate the proposed CBBCM, three numerical examples are presented, and the comparison shows good agreement between the CBBCM and the experimental observation and numerical results. The numerical convergence studies of m-convergence and δ-convergence are made to demonstrate the proposed CBBCM. The microstructure effect of crack propagation is analyzed by applying different Cosserat shear modulus and internal length scales in the simulation. The results indicate that the Cosserat shear modulus has an impact on the crack propagation and the crack propagates slower with a greater Cosserat shear modulus. The internal length scale has little impact on the crack path and only influences the local damage distribution.

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基于 Cosserat 键的对应模型及微观结构对裂纹扩展影响的研究

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来源期刊

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.